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Finding the Fourth Proportional to 17,048.84, 25,576.10 and 7,688.64

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Solution

The fourth proportional to 17,048.84, 25,576.10 and 7,688.64 is: 11,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048.84 : 25,576.10 = 7,688.64 : x
  2. Step 2: Convert to fraction form
    17,048.84/25,576.10 = 7,688.64/x
  3. Step 3: Cross multiply
    17,048.84x = 25,576.10 × 7,688.64
  4. Step 4: Simplify right side
    17,048.84x = 196,645,425.50
  5. Step 5: Solve for x
    x = 196,645,425.50/17,048.84
  6. Step 6: Final answer
    x = 11,534.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.